Nonlinear Analysis Stability, Approximation, and Inequalities [Paperback]

Part I, Stability
1.?Stability problems for functional equations,
2.?Fixed point theorems,
3.?Critical point theorems,
4.?Well posed optimization problems,
5.?Parametric dependence of solutions of variational systems,
6.?Applications.

Part II, Approximation
7.? Nonlinear approximation theory,
8.?Interpolation problems,
9.?Approximations in partial differential equations
10.?Approximations in integral equations,
11.?Approximations with polynomials
12.?Special functions,
13.?Applications to learning theory.

Part III, Inequalities,
14.?Inequalities in analysis
15.?Inequalities in approximation theory,
16.?Variational inequalities and optimization
17.?Multivalued variational inequalities and set-valued analysis
18.?Applications.

Nonlinear Analysis: Stability, Approximation, and Inequalities presents some of the most recent results in the field of nonlinear analysis. Dedicated to Themistocles M. Rassias on the occasion of his 60th birthday, this volume contains 44 articles on various developments in the field, pertaining to subjects such as the stability of functional equations, variational systems,?geometric analysis, analytic inequalities, approximation theory and optimization, as well as their applications. Many of the chapters are related to the seminal contributions of Th. M. Rassias and are based upon his initial findings.

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This book is well suited to researchers working in nonlinear analysis and approximation theory, differential equations, variatlƒ¼